Spectrum of Light Hexaquark States in Triquark-antitriquark Configuration

Abstract

To understand the nature of $X(2075)$ and $X(2085)$ observed by the BESIII collaboration in the $p\bar{\Lambda }$ system, we systematically investigate the possibility that these states are compact hexaquark with triquark-antitriquark configurations for the first time. Within the framework of QCD sum rules, the mass spectrum and decay constants of such hexaquark states with quantum numbers $J^P=0^{-},0^{+},1^{-},1^{+}$ are studied. Consequently, six independent and nondegenerate hexaquark candidates are obtained, among which two $J^P=1^{-}$ states exhibit masses consistent with $X(2075)$, while the two $J^P=1^{+}$ states differ markedly from the mass of $X(2075)$ or $X(2085)$. The remaining two states with $J^P=0^{+}$ and $0^{-}$ may serve as predictions for potential compact hexaquark configurations. Furthermore, the possible decay modes of these hexaquark states are analyzed, which could be the experimental signatures for their identification.

30 pages, 6 figures, 3 tables

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